How to find the perimeter of a right-angle triangle with one side missing?

Perimeter is defined as the length of the total boundary of a shape.

Answer: We can find the missing side and the perimeter of a right-angled triangle using the Pythagoras theorem.

Let us understand this with an example.

Explanation:

In a right-angled triangle, if the hypotenuse = 5 units and base side = 4 units.

If 'a' and 'b' are the sides of a right-angled triangle and 'c' is the hypotenuse, then using the Pythagoras theorem,

c² = a² + b²

5² = 4² + b²

25 = 16 +  b² 

9 =  b²

b = 3

The other side is 3 units.

Now, perimeter of triangle = a+b+c

P = 3 + 4 + 5

P = 12

Perimeter = 12 units

Therefore, we can find the missing side and the perimeter of a right-angled triangle using the Pythagoras theorem. In this example, the missing side is 3 units and the perimeter is 12 units.